barclaybarnes07
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60 points

A composite figure is made up of a rectangular prism sandwiched between two halves of a cylinder. Which of the following surface area equations could you use to find the total surface area of the solid?

60 pointsA composite figure is made up of a rectangular prism sandwiched between two halves of a cylinder Which of the following surface area equations could yo class=

Respuesta :

DizzyBerco

Answer:

[tex]SA=2\pi rh+2\pi ^{2}[/tex]

[tex]SA = 2lw + 2lh + 2wh[/tex]

Step-by-step explanation:

To find the surface area of the shape, we can use the formulas of both the rectangular prism and a whole cylinder.

First we break them into parts. (Refer to Image 1)

You need to combine the two half cylinders to make the cylinder, then solve for the surface area of the rectangular prism.

(Refer to Image 2)

Then you simply add the two surface areas together to get the total surface area.

Ver imagen DizzyBerco
Ver imagen DizzyBerco

Answer:

SA = 2lw + 2lh + 2wh

SA =2πrh+ 2πr2

Step-by-step explanation:

Hi, to find the total surface of the solid we have to sum the surface area of each of the different solid parts that made up the total solid.

So, we have a rectangular prism

Surface area of a rectangular prism: A = 2wl + 2lh + 2hw,

Where:

w = width

l= Length

H= height

And 2 halves of a cylinder. 2 halves of a cylinder are equal to a full cylinder so:

Surface area of a cylinder = 2πrh+ 2πr2  

Where r is the radius

So, the correct options are:

SA = 2lw + 2lh + 2wh

SA =2πrh+ 2πr2

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